Question

-.91 Nude in the sun The Balcony The Circus 137 -.86 -1.01 148 71 91 2.05 -.59 10 114 16. (The instructions for this problem are shown after problem 14.) A developmen- tal psychologist studying people in their eighties was interested in the relation between number of very close friends and overall health. The scores for six research participants follow. Research Participant Number of Friends X Overall Health Y 2241 4 72 17. What is the power of each of the following studies using a correlation coeffi- cient and the .05 significance level? Effect Size (1) N Tails
#16

Answer 1

Solution Gfnen X = 2 4 0 3 2 1 Y= 41 72 37 84 52 49. where x és No. of friends and yes on all health. Here we want to check that theil is selation between No. of friends and evi all health. : To finding any relationship betuulen two valables eve can use tonicietiin equilin. le correlalion coefficient, v= 1 Eny - (EX) (Ey) VnEn-ex? Insya sy? here n=6, ж у ҳу х2 yz 1821 1681 4 72 288 16 5134 10 17 0 0 1369 384 2529 7056 12 52 1104 1 4 1 2704 149 149 | 1 | 2401 ! *x312 sy=335 say=715 EX=34 sye aona from the abone table ene have eill the walue for equation of lovelahon : r = n2ny - (Ex) (sy) Unen-sex? Insya-Eye

= 6x 775 – 12 x 335 16x34–12. V6x20595–6353 = = 4650 – 4020 1204-144 V123370 - 1|2225 630 V60 xV10145 630 780.1923 = Y = 0.8074 Note : x r is equal 0.81 that is x and y have the correlation more Trely correlation). * Also chi can say that No. of friends increase. Vis proportionly increase fins överall health. interesse